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Finding the Third Proportional to 383,194.13 and 574,791.19

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Solution

The third proportional to 383,194.13 and 574,791.19 is: 862,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,194.13 : 574,791.19 = 574,791.19 : x
  2. Step 2: Convert to fraction form
    383,194.13/574,791.19 = 574,791.19/x
  3. Step 3: Cross multiply
    383,194.13x = 574,791.19 × 574,791.19
  4. Step 4: Simplify right side
    383,194.13x = 330,384,909,227.66
  5. Step 5: Solve for x
    x = 330,384,909,227.66/383,194.13
  6. Step 6: Final answer
    x = 862,186.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.